Pith Number

pith:4TOTX2LO

pith:2010:4TOTX2LO42XHJZPTE2O2SPYWF3

not attested not anchored not stored refs pending

Thermodynamics for Kodama observer in general spherically symmetric spacetimes

Jian-Long Li, Yi-Xin Chen, Yong-Qiang Wang

arxiv:1008.3215 v2 · 2010-08-19 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TOTX2LO42XHJZPTE2O2SPYWF3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:40:44.835517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4dd3be96ee6ae74e5f3269da93f162edac6e0634368898f63c15ac7c49599ba

Aliases

arxiv: 1008.3215 · arxiv_version: 1008.3215v2 · doi: 10.48550/arxiv.1008.3215 · pith_short_12: 4TOTX2LO42XH · pith_short_16: 4TOTX2LO42XHJZPT · pith_short_8: 4TOTX2LO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4TOTX2LO42XHJZPTE2O2SPYWF3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e4dd3be96ee6ae74e5f3269da93f162edac6e0634368898f63c15ac7c49599ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9944da79b85b104e26a98afe6d53e899e39995144945203cf08cd06f0dd1820d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-08-19T04:51:04Z",
    "title_canon_sha256": "1bccf56e25489cf4e5762742a7553ae2d0daada5e650822f124be8c9e38e473b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3215",
    "kind": "arxiv",
    "version": 2
  }
}